A company manages its inventory for a specific item using the periodic review inventory model with $5$ days between orders. It is currently time to place an order, and the company notes that there are $210$ items on hand. The item to be replenished has a lead time of $4$ days with a daily demand of $380$ units. The standard deviation of demand during the uncertainty period has been calculated to be $70.$ If the company wants to have at least a $95\%$ service level for this item, what should its order quantity be$?$

the table for the z$-$values for the given probabilities.

Standard Normal Table

Service level

z value

$0\mathrm{.}90$

$1\mathrm{.}28$

$0\mathrm{.}95$

$1\mathrm{.}65$

$0\mathrm{.}98$

$2\mathrm{.}05$

$0\mathrm{.}99$

$2\mathrm{.}33$

The order quantity is $?$ enter your response here units. $($Enter your response rounded up to the next whole number.$)$